Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

20th January 2013

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
2
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
4
Bounds3 marks
x = 127 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
5
Completing the Square3 marks
Write x^2 + 6x - 1 in the form (x + a)^2 + b.

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